Joint communications and radar performance bounds under continuous waveform optimization: The waveform awakens

We develop a joint radar and communications performance bound by optimizing waveforms jointly for the simultaneous radar return and communications receiver. We develop radar waveforms that jointly maximize radar estimation rate and communications data rate for a shared spectrum. As an extension to our previous efforts, we consider a parametrically defined radar spectral weighting of the waveform, balancing the potential increase in entropy due to range sidelobes with the potential improvement in main lobe performance. Successive interference cancellation is used to mitigate an in-band communications user signal after the predicted radar return is removed. The emphasis on radar estimation rate and communications rate is varied, and results are obtained using numerical methods.